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Finding the Third Proportional to 912,897 and 1,970,136

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Solution

The third proportional to 912,897 and 1,970,136 is: 4,251,778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,897 : 1,970,136 = 1,970,136 : x
  2. Step 2: Convert to fraction form
    912,897/1,970,136 = 1,970,136/x
  3. Step 3: Cross multiply
    912,897x = 1,970,136 × 1,970,136
  4. Step 4: Simplify right side
    912,897x = 3,881,435,858,496
  5. Step 5: Solve for x
    x = 3,881,435,858,496/912,897
  6. Step 6: Final answer
    x = 4,251,778.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.